On natural classes of R-modules in the language of ring R
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KASHU, A.. On natural classes of R-modules in the language of ring R. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, nr. 2(45), pp. 95-101. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(45) / 2004 / ISSN 1024-7696 /ISSNe 2587-4322

On natural classes of R-modules in the language of ring R

Pag. 95-101

Kashu A.
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

Every natural class of left R-modules is closed, i.e. is completely described by special set of left ideals of R (natural set). Some characterizations of such sets are shown. The complementation operator of sets is defined and its properties permit to transfer some results on natural classes to the lattice of left ideals of R.

Cuvinte-cheie
Natural class, closed class, natural set, boolean lattice, filter.